Strongly coupled fermionic probe for nonequilibrium thermometry
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866910306345680896 |
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| author | Rodríguez, Ricard Ravell Mehboudi, Mohammad Horodecki, Michał Perarnau-Llobet, Martí |
| author_facet | Rodríguez, Ricard Ravell Mehboudi, Mohammad Horodecki, Michał Perarnau-Llobet, Martí |
| contents | We characterise the measurement sensitivity, quantified by the Quantum Fisher Information (QFI), of a single-fermionic thermometric probe strongly coupled to the sample of interest, a fermionic bath, at temperature $T$. For nonequilibrium protocols, in which the probe is measured before reaching equilibrium with the sample, we find new behaviour of the measurement sensitivity arising due to non-Markovian dynamics. First, we show that the QFI displays a highly non-monotonic behaviour in time, in contrast to the Markovian case where it grows monotonically until equilibrium, so that non-Markovian revivals can be exploited to reach a higher QFI. Second, the QFI rate is maximised at a finite interrogation time $t^*$, which we characterize, in contrast to the solution $t^* \rightarrow 0$ known in the Markovian limit [Quantum 6, 869 (2022)]. Finally, we consider probes make up of few fermions and discuss different collective enhancements in the measurement precision. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_14655 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Strongly coupled fermionic probe for nonequilibrium thermometry Rodríguez, Ricard Ravell Mehboudi, Mohammad Horodecki, Michał Perarnau-Llobet, Martí Quantum Physics We characterise the measurement sensitivity, quantified by the Quantum Fisher Information (QFI), of a single-fermionic thermometric probe strongly coupled to the sample of interest, a fermionic bath, at temperature $T$. For nonequilibrium protocols, in which the probe is measured before reaching equilibrium with the sample, we find new behaviour of the measurement sensitivity arising due to non-Markovian dynamics. First, we show that the QFI displays a highly non-monotonic behaviour in time, in contrast to the Markovian case where it grows monotonically until equilibrium, so that non-Markovian revivals can be exploited to reach a higher QFI. Second, the QFI rate is maximised at a finite interrogation time $t^*$, which we characterize, in contrast to the solution $t^* \rightarrow 0$ known in the Markovian limit [Quantum 6, 869 (2022)]. Finally, we consider probes make up of few fermions and discuss different collective enhancements in the measurement precision. |
| title | Strongly coupled fermionic probe for nonequilibrium thermometry |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2310.14655 |